Question

So sánh:

\(\sqrt{2017}-\sqrt{2016}\) và  \(\sqrt{2016}-\sqrt{2015}\)

Answer 1

> nhes lương thu hà

Answer 2

mk cần gấp lắm. mai k tra rồi

Answer 3

Đặt x=\(\frac{1}{\sqrt{2017}-\sqrt{2016}}\), y=\(\frac{1}{\sqrt{2016}-\sqrt{2015}}\)

x=\(\frac{\sqrt{2017}+\sqrt{2016}}{\left(\sqrt{2017}-\sqrt{2016}\right)\left(\sqrt{2017}+\sqrt{2016}\right)}\)= \(\sqrt{2017}+\sqrt{2016}\)

Tương tự, y=\(\sqrt{2016}+\sqrt{2015}\)

So sánh: x>y suy ra \(\sqrt{2017}-\sqrt{2016}< \sqrt{2016}-\sqrt{2015}\)